- bug fix in destruct

[helm.git] / matita / contribs / LOGIC / NTrack / inv.ma

diff --git a/matita/contribs/LOGIC/NTrack/inv.ma b/matita/contribs/LOGIC/NTrack/inv.ma
index 6c57c2040417633032f1581694cb2b58d1dbf668..f272bd5181cabf71a8bad948c362964a3bdece41 100644 (file)
--- a/matita/contribs/LOGIC/NTrack/inv.ma
+++ b/matita/contribs/LOGIC/NTrack/inv.ma
@@ -18,26 +18,26 @@ include "NTrack/defs.ma".
 (*
 theorem ntrack_inv_lref: \forall Q,S,i. NTrack Q (lref i) S \to
                          \exists P. Insert S i P Q.
- intros; inversion H; clear H; intros; subst; autobatch.
+ intros; inversion H; clear H; intros; destruct; autobatch.
 qed.
 
 theorem ntrack_inv_parx: \forall P,S,h. NTrack P (parx h) S \to
                          S = pair (posr h) (posr h).
- intros; inversion H; clear H; intros; subst; autobatch.
+ intros; inversion H; clear H; intros; destruct; autobatch.
 qed.
 
 theorem ntrack_inv_impw: \forall P,p,S. NTrack P (impw p) S \to
                          \exists B,a,b. 
                          S = pair (impl a b) B \land 
                          NTrack P p (pair lleaf B).
- intros; inversion H; clear H; intros; subst; autobatch depth = 5.
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 5.
 qed.
 
 theorem ntrack_inv_impr: \forall P,p,S. NTrack P (impr p) S \to
                          \exists a,b:Formula. 
                          S = pair lleaf (impl a b) \land
                          NTrack P p (pair a b).
- intros; inversion H; clear H; intros; subst; autobatch depth = 4.
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 4.
 qed.
 
 theorem ntrack_inv_impi: \forall P,p,q,r,S. NTrack P (impi p q r) S \to
@@ -47,20 +47,20 @@ theorem ntrack_inv_impi: \forall P,p,q,r,S. NTrack P (impi p q r) S \to
                          NTrack P q (pair b B) \land
                          NTrack Q r (pair lleaf D) \land
                          Insert (pair A B) i P Q.
- intros; inversion H; clear H; intros; subst; autobatch depth = 12 width = 5 size = 16.
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 12 width = 5 size = 16.
 qed.
 
 theorem ntrack_inv_scut: \forall P,q,r,S. NTrack P (scut q r) S \to False.
- intros; inversion H; clear H; intros; subst.
+ intros; inversion H; clear H; intros; destruct.
 qed.
 
 theorem ntrack_inv_lleaf_impl: 
    \forall Q,p,a,b. NTrack Q p (pair lleaf (impl a b)) \to
    (\exists P,i. p = lref i \land Insert (pair lleaf (impl a b)) i P Q) \lor
    (\exists r. p = impr r \land NTrack Q r (pair a b)).
- intros; inversion H; clear H; intros; subst;
+ intros; inversion H; clear H; intros; destruct;
  [ autobatch depth = 5
- | subst; autobatch depth = 4
+ | destruct; autobatch depth = 4
  ].
 qed.
 *)